{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b02ba4ed-8a6c-43c4-8bed-31af4d6e0a83",
   "metadata": {},
   "source": [
    "Chapter 03\n",
    "\n",
    "# 离群值\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f225a52b-5931-4af7-93c9-fc9410e51bb5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import pandas as pd  \n",
    "import seaborn as sns \n",
    "from sklearn.datasets import load_iris\n",
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "35a7eb31-695f-49ab-9224-cd6b15c677ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the iris data\n",
    "iris_sns = sns.load_dataset(\"iris\") \n",
    "# A copy from Seaborn\n",
    "iris = load_iris()\n",
    "# A copy from Sklearn\n",
    "\n",
    "X = iris.data\n",
    "y = iris.target\n",
    "\n",
    "feature_names = ['Sepal length, $X_1$','Sepal width, $X_2$',\n",
    "                 'Petal length, $X_3$','Petal width, $X_4$']\n",
    "\n",
    "# Convert X array to dataframe\n",
    "X_df = pd.DataFrame(X, columns=feature_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24688d2e-093e-4c10-bc6d-fb5a7a4472e8",
   "metadata": {},
   "source": [
    "## 直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c5fa49ae-e182-4c7a-b35f-3218600c5e18",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Histograms\n",
    "\n",
    "# visualize two tails (1%, 99%)\n",
    "\n",
    "num = 0\n",
    "fig, axes = plt.subplots(2,2)\n",
    "\n",
    "for i in [0,1]:\n",
    "    for j in [0,1]:\n",
    "        \n",
    "        sns.histplot(data=X_df, \n",
    "                     x = feature_names[num], \n",
    "                     binwidth = 0.2, \n",
    "                     ax = axes[i][j])\n",
    "        axes[i][j].set_xlim([0,8]); \n",
    "        axes[i][j].set_ylim([0,40])\n",
    "        \n",
    "        q1, q50, q99 = np.percentile(X_df[feature_names[num]], \n",
    "                                     [1,50,99])\n",
    "        axes[i][j].axvline(x=q1, color = 'r')\n",
    "        axes[i][j].axvline(x=q50, color = 'r')\n",
    "        axes[i][j].axvline(x=q99, color = 'r')\n",
    "        \n",
    "        num = num + 1\n",
    "\n",
    "# visualize locations of three quartiles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "deaa657d-39d9-41c6-92b5-dd03f904a089",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num = 0\n",
    "\n",
    "fig, axes = plt.subplots(2,2)\n",
    "\n",
    "for i in [0,1]:\n",
    "    for j in [0,1]:\n",
    "        \n",
    "        sns.histplot(data=X_df, x = feature_names[num], \n",
    "                     binwidth = 0.2, ax = axes[i][j])\n",
    "        axes[i][j].set_xlim([0,8]); \n",
    "        axes[i][j].set_ylim([0,40])\n",
    "        \n",
    "        q75, q50, q25 = np.percentile(X_df[feature_names[num]], \n",
    "                                      [75,50,25])\n",
    "        axes[i][j].axvline(x=q75, color = 'r')\n",
    "        axes[i][j].axvline(x=q50, color = 'r')\n",
    "        axes[i][j].axvline(x=q25, color = 'r')\n",
    "        \n",
    "        num = num + 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab6ba2e5-2add-46b3-ba20-d1e031526910",
   "metadata": {},
   "source": [
    "## 概率密度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cebdc036-7ddb-4c5f-9e55-2ff445d26204",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% KDE +rug plot\n",
    "\n",
    "num = 0\n",
    "fig, axes = plt.subplots(2,2)\n",
    "\n",
    "for i in [0,1]:\n",
    "    for j in [0,1]:\n",
    "        \n",
    "        sns.kdeplot(data=X_df, x = feature_names[num], \n",
    "                    ax = axes[i][j], fill = True)\n",
    "        sns.rugplot(data=X_df, x = feature_names[num], \n",
    "                    ax = axes[i][j], color = 'k', height=.05)\n",
    "        \n",
    "        q1, q50, q99 = np.percentile(X_df[feature_names[num]], \n",
    "                                     [1,50,99])\n",
    "        axes[i][j].axvline(x=q1, color = 'r')\n",
    "        axes[i][j].axvline(x=q50, color = 'r')\n",
    "        axes[i][j].axvline(x=q99, color = 'r')\n",
    "        \n",
    "        num = num + 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c47df58c-3fbc-4d1c-881f-94d8c276bd1e",
   "metadata": {},
   "source": [
    "## 平面散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1c69a414-43cf-4577-8f8c-08a1f5a348f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% scatter plot\n",
    "\n",
    "for i in [1,2,3]:\n",
    "    \n",
    "    fig, axes = plt.subplots()\n",
    "    \n",
    "    sns.scatterplot(data=X_df, x=feature_names[0], y=feature_names[i])\n",
    "    sns.rugplot    (data=X_df, x=feature_names[0], y=feature_names[i], height=.05)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e458bda-b268-4ea0-95dc-67a454abbd3a",
   "metadata": {},
   "source": [
    "## 成对特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "feae0007-c214-40c9-bd22-67f6898208ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x23fba9d0e80>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% pairplot\n",
    "\n",
    "g = sns.pairplot(X_df)\n",
    "g.map_upper(sns.scatterplot, color = 'b')\n",
    "g.map_lower(sns.kdeplot, levels=8, fill=True, cmap=\"Blues_r\") \n",
    "g.map_diag(sns.histplot, kde=False, color = 'b')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e279c96-e4a4-46f3-939d-092fb3c78b22",
   "metadata": {},
   "source": [
    "## QQ图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8aba02d9-0788-44af-ab9e-95d977341905",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% QQ plot\n",
    "\n",
    "import pylab\n",
    "\n",
    "num = 0;\n",
    "\n",
    "for i in [0,1]:\n",
    "    for j in [0,1]:\n",
    "        \n",
    "        fig, axes = plt.subplots(1,2)\n",
    "        \n",
    "        sns.histplot(data=X_df, x = feature_names[num], binwidth = 0.2, ax = axes[0])\n",
    "        axes[0].set_xlim([0,8]); axes[0].set_ylim([0,40])\n",
    "        \n",
    "        values = X_df[feature_names[num]]\n",
    "        \n",
    "        stats.probplot(values, dist=\"norm\", plot=pylab)\n",
    "\n",
    "        plt.xlabel('Normal distribution')\n",
    "        plt.ylabel('Empirical distribution')\n",
    "        plt.title(feature_names[num])\n",
    "        num = num + 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ba8e07e-749f-461f-8d8c-0e1b392a1497",
   "metadata": {},
   "source": [
    "## 箱型图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "90f86d92-2f96-4241-9778-5f96244844b8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       Sepal length, $X_1$  Sepal width, $X_2$  Petal length, $X_3$  \\\n",
      "count           150.000000          150.000000           150.000000   \n",
      "mean              5.843333            3.057333             3.758000   \n",
      "std               0.828066            0.435866             1.765298   \n",
      "min               4.300000            2.000000             1.000000   \n",
      "25%               5.100000            2.800000             1.600000   \n",
      "50%               5.800000            3.000000             4.350000   \n",
      "75%               6.400000            3.300000             5.100000   \n",
      "max               7.900000            4.400000             6.900000   \n",
      "\n",
      "       Petal width, $X_4$  \n",
      "count          150.000000  \n",
      "mean             1.199333  \n",
      "std              0.762238  \n",
      "min              0.100000  \n",
      "25%              0.300000  \n",
      "50%              1.300000  \n",
      "75%              1.800000  \n",
      "max              2.500000  \n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Sepal length, $X_1$</th>\n",
       "      <th>Sepal width, $X_2$</th>\n",
       "      <th>Petal length, $X_3$</th>\n",
       "      <th>Petal width, $X_4$</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.25</th>\n",
       "      <td>5.1</td>\n",
       "      <td>2.8</td>\n",
       "      <td>1.60</td>\n",
       "      <td>0.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.50</th>\n",
       "      <td>5.8</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.35</td>\n",
       "      <td>1.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.75</th>\n",
       "      <td>6.4</td>\n",
       "      <td>3.3</td>\n",
       "      <td>5.10</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Sepal length, $X_1$  Sepal width, $X_2$  Petal length, $X_3$  \\\n",
       "0.25                  5.1                 2.8                 1.60   \n",
       "0.50                  5.8                 3.0                 4.35   \n",
       "0.75                  6.4                 3.3                 5.10   \n",
       "\n",
       "      Petal width, $X_4$  \n",
       "0.25                 0.3  \n",
       "0.50                 1.3  \n",
       "0.75                 1.8  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% box plot of data\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "sns.boxplot(data=X_df, palette=\"Set3\", orient=\"h\")\n",
    "\n",
    "print(X_df.describe())\n",
    "\n",
    "X_df.quantile(q=[0.25, 0.5, 0.75], axis=0, \n",
    "              numeric_only=True, interpolation='midpoint')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de87cb44-f703-4a40-866d-4ecaee53b89e",
   "metadata": {},
   "source": [
    "## 箱型图 + 蜂群图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "64bae146-dc99-4182-a3af-5a7db959da0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\james\\anaconda3\\lib\\site-packages\\seaborn\\categorical.py:3398: UserWarning: 13.3% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n",
      "  warnings.warn(msg, UserWarning)\n",
      "C:\\Users\\james\\anaconda3\\lib\\site-packages\\seaborn\\categorical.py:3398: UserWarning: 39.3% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n",
      "  warnings.warn(msg, UserWarning)\n",
      "C:\\Users\\james\\anaconda3\\lib\\site-packages\\seaborn\\categorical.py:3398: UserWarning: 12.7% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n",
      "  warnings.warn(msg, UserWarning)\n",
      "C:\\Users\\james\\anaconda3\\lib\\site-packages\\seaborn\\categorical.py:3398: UserWarning: 32.7% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% combine boxplot and swarmplot\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "sns.boxplot(data=X_df, orient=\"h\", palette=\"Set3\")\n",
    "\n",
    "sns.swarmplot(data=X_df, \n",
    "               linewidth=0.25, orient=\"h\", color=\".5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88561259-583c-471e-98cc-385249da0d51",
   "metadata": {},
   "source": [
    "## z分数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6358d806-c9ea-4d83-b7c9-84a5609f1b08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% z score\n",
    "\n",
    "from scipy import stats\n",
    "\n",
    "df_zscore = (X_df - X_df.mean())/X_df.std()\n",
    "\n",
    "# z_score = stats.zscore(X_df)\n",
    "\n",
    "num = 0\n",
    "\n",
    "fig, axes = plt.subplots(2,2)\n",
    "\n",
    "for i in [0,1]:\n",
    "    for j in [0,1]:\n",
    "        \n",
    "        sns.histplot(data=df_zscore, x = feature_names[num], binwidth = 0.2, ax = axes[i][j])\n",
    "        axes[i][j].set_xlim([-4,4]); axes[i][j].set_ylim([0,40])\n",
    "        \n",
    "        axes[i][j].axvline(x=3, color = 'r')\n",
    "        axes[i][j].axvline(x=2, color = 'r')\n",
    "        axes[i][j].axvline(x=-3, color = 'r')\n",
    "        axes[i][j].axvline(x=-2, color = 'r')\n",
    "        axes[i][j].axvline(x=0, color = 'r')\n",
    "        \n",
    "        num = num + 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7908f4c-c05f-494e-86ef-def61d8d0ed9",
   "metadata": {},
   "source": [
    "## 马氏距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "932036d2-a5c8-43a0-89ae-2fb685cfe671",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Mahal distance\n",
    "\n",
    "from sklearn.covariance import EllipticEnvelope\n",
    "\n",
    "clf = EllipticEnvelope(contamination=0.05)\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(3, 9, 50), np.linspace(1, 5, 50))\n",
    "\n",
    "clf.fit(X_df.values[:,:2])\n",
    "Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.contour(xx, yy, Z, levels=[0], linewidths=2, colors='r')\n",
    "\n",
    "ax.scatter(X_df.values[:, 0], X_df.values[:, 1], color='b')\n",
    "\n",
    "ax.set_xlim((3,9))\n",
    "ax.set_ylim((0,6))\n",
    "\n",
    "ax.set_ylabel(feature_names[0]);\n",
    "ax.set_xlabel(feature_names[1]);\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "\n",
    "\n",
    "#%%"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
